Exploding solitons and Shil'nikov's theorem

被引：47

作者：

Akhmediev, N ^{[1
]}

Soto-Crespo, JM

机构：

[1] Australian Natl Univ, Ctr Opt Sci, Res Sch Phys Sci & Engn, Canberra, ACT 0200, Australia

[2] CSIC, Inst Opt, Madrid 28006, Spain

来源：

PHYSICS LETTERS A | 2003年 / 317卷 / 3-4期

基金：

澳大利亚研究理事会;

关键词：

dissipative solitons; complex Ginzburg-Landau equation;

D O I：

10.1016/j.physleta.2003.08.060

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have performed a detailed linear stability analysis of exploding solitons of the complex cubic-quintic Ginzburg-Landau (CGLE) equation. We have found, numerically, the whole set of perturbation eigenvalues for these solitons. We propose a scenario of soliton evolution based on this spectrum of eigenvalues. We relate exploding and self-restoring behavior of solitons to the Shil'nikov theorem, and point out common features and differences between our system, with an infinite number of degrees of freedom, and Shil'nikov's system with three degrees of freedom. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：287 / 292

页数：6

共 17 条

[1] Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach [J].